Geometry fundamentals — Does a point represent only a location in space with zero width, zero height, and zero depth (no extent in any dimension)?

Introduction / Context:
A point is the most elementary geometric entity used in mathematics, engineering graphics, and CAD. Recognizing its abstract, zero-dimensional nature helps avoid confusion when interpreting drawings and models that visually depict points with markers or dots for human readability.

Given Data / Assumptions:

• Statement: a point has no width, height, or depth.
• In practice, we draw points as marks for visibility.
• Engineering graphics uses points to define vertices, centers, and reference locations.

Concept / Approach:
By definition, a point denotes location only. Any drawn symbol (dot, crosshair) is representational and scaled for legibility, not an actual geometric size. This conceptual clarity underpins precise definitions of lines (infinite set of points) and surfaces (loci of points).

Step-by-Step Solution:
1) Recall definition: a point is zero-dimensional.2) Distinguish representation from reality: plotted dots have size for viewing, not as a property of the point.3) Therefore, the statement is correct as a geometric definition.

Verification / Alternative check:
Consider CAD: zooming in enlarges the display marker, but coordinate data for the point remain a single location without size attributes.

Why Other Options Are Wrong:

• Incorrect: Conflicts with the formal definition.
• Only in 2D drawings: Dimensionality of the point is independent of 2D/3D context.
• Depends on drawing scale: Scale affects symbol size, not the point’s nature.
• True for CAD but not for hand sketches: The concept is universal.

Common Pitfalls:
Equating the plotted symbol with the geometric entity; assuming measurement attributes where none exist; confusing pixel size with geometric size.

Final Answer:
Correct